Multiple Representations Guided Practice

Teacher Facing
February 10, 2025

Grade 6 Mathematics

Unit 11: Linear Representations

Lesson 7: Multiple Representations

6

Do Now

The table shows print orders last week for a local printing
company the cost of each.

Part A: What is the cost of one print?

Part B: What would the cost be for 200
prints?

Multiple Choice

Question 1: Part A: What is the cost of one print?

• 10.00

• 1.20

• 0.12
• 0.10

Multiple Choice

Question 1: Part B: What would be the cost for 200 prints?

• $12.00

• $1.20

• $2,000.00

• $24.00

3

Academic Vocabulary

Independent Quantities (x)

Dependent Quantities (y)

15, 20, 25, 30, 40

30, 40, 50, 60, 80

x

15

20

25

30

40

y

30

40

50

60

80

y= 2x

4

1

5

2

10

3

15

4

20

5

25

6

30

Number of
Weeks (w)

Number of

Books

Collected, b
Independent

Variable

Dependent

Variable

Independent

Quantities

Dependent
Quantities

Academic Vocabulary

Academic Vocabulary

Table

Equation

Variable

Term

5

7

LO:SWBAT represent a given situation using
a verbal description, table, graph, and
equations.

DOL: Given a set of problems, students will
correctly represent a given situation using a
verbal description, table, graph, and equations
in at least 4 of 5 problems.

MATH.6.6C Represent a given situation using verbal descriptions, tables, graphs, and equations in the
form y = kx or y = x + b.

8

Essential Question

How can we represent a given
situation to show a relationship
between the independent and
dependent quantities in a data set?

8

Represent the situation using an equation, table, and equation.

Equation

Table

Graph

11

Tony’s age is 5 more than Ryan’s age.

Ryan’s Age
r

Tony’s Age
t

1

6

3

8

5

10

8

13

t = r + 5

Ryan’s Age

Tony’s Age

Multiple Choice

Question #3: Which equation could represent the situation?

• p = 6.50 + c

• p = 6.50c

• p = 13.00c

• c = 6.0p

Multiple Choice

Question 3: Part B: What operation should be performed when considering the cost of several boxes of cookies.

• Multiplication

• Division

• Subtraction

• Addition

Multiple Choice

Question 3: Part A: How can you determine the cost of one box of cookies?

• Divide 2 by $13

• Divide $13 by 2

• Multiply $13 times 2

• Add $13 and 2

Multiple Choice

Question 4: Part A: Write an equation to represent the situation

• y = x + 3
• y=3x

• x = 3 + y

• x = 3y

Dropdown

Question 4: Part B: What is the cost of 12 slices of bread?

​

Select answer

Multiple Choice

Answer Number 5 from your student handout

• A

• B

• C

• D

Multiple Choice

Answer question #6 from your student handout here

• A

• B

• C

• D

Dropdown

Question Number 7: The ​

Select answer

quantity is ​

Select answer

than the ​

Select answer

​ quantity

Multiple Choice

Answer Number 8 from your student handout here

• A

• B

• C

• D

Multiple Choice

Which equation matches the table? 

• y = x + 4

• y = 5x

• y = x - 4

• y = x + 16

Multiple Choice

The equation below describes a relationship between x and y.

$$y\ =\ x\ +\ 5$$  

Which table shows this relationship?

Multiple Choice

What equation can be used to represent the relationship between the input (x) and output (y)?

• y = x + 4

• y = 3x

• x = y + 4

• x = 3y

Multiple Choice

Write an equation for this situation.

• y=9.75x

• y=x + 19.25

• y=19.25x

• y=9.5x

Multiple Choice

The equation below describes a relationship between x and y.

$$y\ =\ 2x$$  

You can use the table below to help select the graph that shows this relationship.

Multiple Choice

Which equation matches the table? 

• y = x + 4

• y = 5x

• y = x - 4

• y = x + 16

Multiple Choice

Which table represents the relationship in the graph above?

Multiple Choice

What kind of relationship is seen in the table above?

• Additive

• Multiplicative

22

How can we represent the relationship
between independent and dependent
variables?

The relationship between the independent and
dependent variables can be expressed using a table,
graph, verbal description, or equation.